15/4 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts, numerator (number on the top) here, 15 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.

What is 15/4 as a decimal?

$15/4 as a decimal$

Answer

15/4 in decimals can be written as 3.75. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get 15/4 in decimal, we will use the division method. Let's see the step-by-step breakdown of the process.

Step 1: Identify the numerator and denominator because the numerator (15) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: Divide 15 by 4. Let's see how many times 4 fits into 15.

Step 3: 4 × 3 = 12. Subtract 12 from 15, which gives 3.

Step 4: Bring down a 0 to make it 30 and continue the division. 4 goes into 30 seven times (4 × 7 = 28). Subtract 28 from 30, which gives 2.

Step 5: Bring down another 0 to make it 20. 4 goes into 20 five times (4 × 5 = 20). Subtract 20 from 20, which gives 0. Since the remainder is 0, the division process stops here.

The answer for 15/4 as a decimal is 3.75.

Important Glossaries for 15/4 as a decimal

Fraction: A numerical quantity representing a part of a whole.
Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Terminating Decimal: A decimal that ends and does not repeat infinitely.